Infinity Essay

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Introduction

April 14, 2007

“Infinity: You Can’t Get There From Here”

Infinity is not a number; it is a word that clearly defies having as starting point but no limited ending. In infinity comes from a Latin word infinitas meaning “unbound”. When you think about infinity what usually comes into mind is the idea of no ending. Infinity is bigger than the biggest thing you could ever think of. When counting numbers we usually start with one and count till a hundred maybe, but a hundred is not the last number, it does not end there, the number continues on and on. Infinity is usually thought of as the largest number possible or the furthest possible distance. In Google infinity is defined as "Infinity is free from any possible limitation";meaning that it is not even close to an ending infinity has no limitation, no limited number. Whatever number we can think of there is always a larger one. Infinity in mathematics is not finite.

The symbol for infinity is a little ribbon ∞. Infinity is represented with a little ribbon because as one can imagine walking around the two loops forever never knowing where and when to stop. The symbol indicates an unbounded limit. X → ∞ meaning that X grows beyond any assigned value, X → -∞meaning X is less than any assigned value. Infinity is not a real number but an extended real number line, an extended number line is obtained by adding two elements [ +∞ and -∞ ] plus infinity and minus infinity. These elements[+∞and -∞] involves the arithmetic operations, in where, infinity plus infinity equals infinity, infinity times infinity equals infinity, negative infinity times negative infinity equals infinity, negative infinity plus negative infinity equals negative infinity, infinity times negative infinity equals negative infinity. this is as clear as it gets, like what Isha Upanishad said, “ if you add a part of infinity or if you remove a part of infinity, still what remains is infinity.”

In conclusion trying to find out what infinity really is will drive you mad. Theories in math that says infinity can be represent using the sequence and series formulas. But how sure are they that those formulas are even close to the infinite number. An infinite number do exist but no matter how long man may exist on earth I think no man would ever reach the infinite number. I’ve come to a conclusion that infinity ay as well be applied as much as math is used in every second of our lives. No matter how long you would study every characteristic, every formula made about infinity, and every theory studied about infinity all you will get come up with would be infinity. The quote that will always remain true no matter how many theories bout infinity will be discovered is that, “if you add a part of infinity or if you remove a part of infinity, still what remains is infinity.”

Therefore we can easily work out the general formula for this infinity surd. This is, Xn+1 = k + Xn We can calculate the exact value of this general infinity surd using the same method above, which it will give us X-X-K=0 a = 1 � (-1)2-4(1)(-k)